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###################################################################################
#' Calculates the first derivative of signal data
#'
#' @param DATA The matrix of signals for which the derivative is calculated (one column per signal)
#' @param axType Type of interpolation: "ORD1" (default) first order, "SCD" second ,"TRD" third, "ORD3a" cubic polynom
#'
#' @note setting axType to invalid values will lead to first order interpolation.
#'
#' @return matrix \code{DATA} \cr
#' - \code{DATA} contains the derivative signals, with the same structure as the input data.
#' @export
#' @importFrom stats filter
###################################################################################
sfaTimediff <- function (DATA, axType="ORD1"){
#if (is.null(axType)){
# # first order interpolation
# DATA=filter(DATA,filter=c(1, -1))#matlab version DATA=filter([1 -1], [1], DATA);
#}
#else{
if (axType=="ORD3a"){
# interpolation by cubic polynom
DATA=filter(DATA,filter=c(2,-9, 18, -11))#DATA=filter([2 -9 18 -11], [1], DATA)./6;
}
else if (axType=="SCD"){
DATA=filter(DATA,filter=c(1, -2, 1))#DATA=filter([1 -2 1], [1], DATA);
}
else if (axType=="TRD"){
DATA=filter(DATA,filter=c(-1, 3, -3, 1))#DATA=filter([-1 3 -3 1], [1], DATA);
}
else{
# first order interpolation
DATA=filter(DATA,filter=c(1, -1))#DATA=filter([1 -1], [1], DATA);
}
#}
#remove NA values (number of removed depends on filter order)
if (customSize(DATA)[1]>1){
DATA=DATA[!is.na(DATA)[,1],]
}else{
DATA=DATA[!is.na(DATA)]
}
return(DATA)
}
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